131020133033031 has 16 divisors (see below), whose sum is σ = 192461617565568. Its totient is φ = 78619941812000.

The previous prime is 131020133033003. The next prime is 131020133033039. The reversal of 131020133033031 is 130330331020131.

It is a cyclic number.

It is not a de Polignac number, because 131020133033031 - 2⁶ = 131020133032967 is a prime.

It is a super-2 number, since 2×131020133033031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131020133032992 and 131020133033010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020133033039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19654982121 + ... + 19654988786.

It is an arithmetic number, because the mean of its divisors is an integer number (12028851097848).

Almost surely, 2^{131020133033031} is an apocalyptic number.

131020133033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131020133033031 is a deficient number, since it is larger than the sum of its proper divisors (61441484532537).

131020133033031 is a wasteful number, since it uses less digits than its factorization.

131020133033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39309971022.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131020133033031 its reverse (130330331020131), we get a palindrome (261350464053162).

The spelling of 131020133033031 in words is "one hundred thirty-one trillion, twenty billion, one hundred thirty-three million, thirty-three thousand, thirty-one".